Inu as a kid is found by some demon slayers and one of the women decide to keep. him he travels with them for a little while. Then men don't think its a good idea because he's a demon but the woman says he's just a child.

I think it starts out following the demon slayers and they see little yellow eye in the cave they found and wanted to rest in. They realize it is a child and the woman wants to keep him. Inu is scared at first but warms up to the woman.